Product A is made from components B and C$.$ Item$$ B$,$ in$$ turn, is made from D and E$.$ Item C also is an intermediate$$ item, made from F and H$.$ Finally, intermediate item E is made from H and G$.$ Note that item H has two parents. The following are item lead$$ times:

Item A: $3$

Item B: $3$

Item C: $2$

Item D: $6$

Item E: $2$

Item F: $5$

Item G: $2$

Item H: $6$

a$.$ What lead time$($in weeks$)$ is needed to respond to a customer order for product$$ A$,$ assuming no existing inventories or scheduled$$ receipts?

b$.$ What is the customer response time if all purchased items$($i$.$e$.,$ D$,$ F$,$ G$,$ and$$ H$)$ are in$$ inventory? $($in weeks$)$

c$.$ If you are allowed to keep just one purchased item in$$ stock, which one would you$$ choose?

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